A289812 n for which a Factor Pair Latin Square of order n exists.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 31, 32

Offset: 1

Author

Jordan Lenchitz, Leah S. Miller, Makkah Davis, Bob Kuo, Boyang Su, James Hammer, Jul 12 2017

Keywords

• nonn
• hard
• more

Comments

This sequences differs from A206551 because no Factor Pair Latin Square of order 45 exists.

It is known that every prime power (A000961) as well as twice every prime number (A100484) appears in this sequence.

Links

• James Hammer, Factor Pair Latin Squares, Dissertation, Auburn University, 2015.

Crossrefs

Cf. A000961, A100484, A206551.